Industrial and Manufacturing Systems Engineering, Statistics
Journal or Book Title
Computational Statistics & Data Analysis
A variety of existing symmetric parametric models for 3-D rotations found in both statistical and materials science literatures are considered from the point of view of the “uniform-axis-random-spin” (UARS) construction. One-sample Bayes methods for non-informative priors are provided for all of these models and attractive frequentist properties for corresponding Bayes inference on the model parameters are confirmed. Taken together with earlier work, the broad efficacy of non-informative Bayes inference for symmetric distributions on 3-D rotations is conclusively demonstrated.
© 2014. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Qiu, Yu; Nordman, Danial J.; and Vardeman, Stephen B., "One-sample Bayes inference for symmetric distributions of 3-D rotations" (2014). Industrial and Manufacturing Systems Engineering Publications. 137.